213046080 has 224 divisors, whose sum is σ = 747272064. Its totient is φ = 51093504.

The previous prime is 213046073. The next prime is 213046103. The reversal of 213046080 is 80640312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213046080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536442 + ... + 536838.

It is an arithmetic number, because the mean of its divisors is an integer number (3336036).

Almost surely, 2^213046080 is an apocalyptic number.

213046080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373636032).

213046080 is an abundant number, since it is smaller than the sum of its proper divisors (534225984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213046080 is a wasteful number, since it uses less digits than its factorization.

213046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 213046080 is about 14596.0981087413. The cubic root of 213046080 is about 597.2523252354.

Adding to 213046080 its reverse (80640312), we get a palindrome (293686392).

The spelling of 213046080 in words is "two hundred thirteen million, forty-six thousand, eighty".